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Finding the Fourth Proportional to 841.74, 1,261.80 and 567.23

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Solution

The fourth proportional to 841.74, 1,261.80 and 567.23 is: 850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.74 : 1,261.80 = 567.23 : x
  2. Step 2: Convert to fraction form
    841.74/1,261.80 = 567.23/x
  3. Step 3: Cross multiply
    841.74x = 1,261.80 × 567.23
  4. Step 4: Simplify right side
    841.74x = 715,724.51
  5. Step 5: Solve for x
    x = 715,724.51/841.74
  6. Step 6: Final answer
    x = 850.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.